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Finding the Third Proportional to 1,011,337,067,450 and 1,461,207,416,673

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Solution

The third proportional to 1,011,337,067,450 and 1,461,207,416,673 is: 2,111,192,384,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337,067,450 : 1,461,207,416,673 = 1,461,207,416,673 : x
  2. Step 2: Convert to fraction form
    1,011,337,067,450/1,461,207,416,673 = 1,461,207,416,673/x
  3. Step 3: Cross multiply
    1,011,337,067,450x = 1,461,207,416,673 × 1,461,207,416,673
  4. Step 4: Simplify right side
    1,011,337,067,450x = 2,135,127,114,540,182,275,096,576
  5. Step 5: Solve for x
    x = 2,135,127,114,540,182,275,096,576/1,011,337,067,450
  6. Step 6: Final answer
    x = 2,111,192,384,081.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.